
WebIf z ≠ 0, this means that z is purely imaginary. There is also a nice geometric interpretation: | z − 1 | is the distance from z to 1, and | z + 1 | is the distance to − 1. If. WebProof :- If z is purely imaginary then z=ib for some b€IR. So, conjg (z)=-ib=-z. Conversely, suppose z.conjg (z)=-z² => |z|²=-z² => z²=-|z|² => z=ib for some b€IR => z is purely. WebIf z is a complex number such that z − i z − 1 z − i z − 1 is purely imaginary, then the minimum value of f |z – (3 + 3i)| is : (1) 2√2 2 - 1. (2) 3√2 2. (3) 6 √2 2. (4) 2√2 2..
If Z 1 Z 1 Is Purely Imaginary Then, If `(z-1)/(z+1)` is a purely imaginary number `(z ne - 1)`, then find the value of `|z|`.||, 9.96 MB, 07:15, 2,788, concepts & Methods, 2020-09-24T03:21:32.000000Z, 19, If the number `(z-1)/(z+1)` is purely imaginary, then - YouTube, www.youtube.com, 1280 x 720, jpeg, , 20, if-z-1-z-1-is-purely-imaginary-then, KAMPION
WebIf z+1z−1 is purely imaginary then ∣z∣ =. Medium. View solution. >. View more. Get the Free Answr app. Click a picture with our app and get instant verified solutions. Scan Me. OR. WebHint: Use the fact that if a complex number z is purely imaginary, then z + z ¯ = 0. Use the fact that z z ¯ = | z | 2 and a + b ¯ = a ¯ + b ¯ and ( a b) ¯ = a ¯ b ¯.. WebGiven that z - 1 z + 1 is purely imaginary number. Let z = x + yi. ∴ x + y i - 1 x + y i + 1 = ( x - 1) + i y ( x + 1) + i y. = ( x - 1) + i y ( x + 1) + i y × ( x + 1) - i y ( x + 1) - i y. ⇒ ( x - 1) ( x +. WebIf z( =−1) is complex number such that z+1z−1 is purely imaginary, then ∣z∣ is equal to. Medium. WebIf (z-1)/(z+1) is a purely imaginary number (z≠-1), then |z| is equal to (a) 1 (b) 2(c) 3 (d)5 Downloads our APP for FREE Study Material ,Video Class ,... WebIf P is the affix of z in the Argand diagram and P moves so that z − 1 z − i is always purely imaginary, then locus of z is 10. If x = a + b, y = a ω + b ω 2 and z = a ω 2 + bω, then. Webz + (1/z) - 1. then it’s easy to demonstrate that’s it’s real, using Euler’s formula. But if you mean (z+1) / (z-1) then you could multiply the top and bottom by the conjugate of (z-1),. WebIf `(z-1)/(z+1)` is a purely imaginary number `(z ne - 1)`, then find the value of `|z|`.If `(z-1)/(z+1)` is purely imaginary number `(z!=-1)` find the value... WebShow, by geometrical means, or otherwise, that if z1 and z2 are complex numbers such that |z1|=|z2|, then (z1+z2)/(z1-z2) is purely imaginary.Question submit...
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If Z 1 Z 1 Is Purely Imaginary Then
If `(z-1)/(z+1)` is a purely imaginary number `(z ne - 1)`, then find the value of `|z|`.
If `(z-1)/(z+1)` is purely imaginary number `(z!=-1)` find the value of `|z|`
If z-1/z+1 is purely imaginary number (z is not equal to -1) then find the value of mod z
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